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$\mathbb{S}\text{ol}^{3}\times \mathbb{E}^{1}$-MANIFOLDS

Published online by Cambridge University Press:  04 December 2017

J. A. HILLMAN*
Affiliation:
School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia email jonathan.hillman@sydney.edu.au
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Abstract

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We show that closed $\mathbb{S}\text{ol}^{3}\times \mathbb{E}^{1}$-manifolds are Seifert fibred, with general fibre the torus, and base one of the flat 2-orbifolds $T,Kb,\mathbb{A},\mathbb{M}b,S(2,2,2,2),P(2,2)$ or $\mathbb{D}(2,2)$, and outline how such manifolds may be classified.

Type
Research Article
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

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